EduSahara™ Worksheet
Name : Chapter Based Worksheet
Chapter : Real Numbers
Grade : SSC Grade X
License : Non Commercial Use
Question
1
1.
log
67
+
log
63
=
(i)
log
4223
(ii)
log
4220
(iii)
log
4221
(iv)
log
4221
2
(v)
log
4218
Question
2
2.
Simplify the expression
-8
(
9
7
)
✕
-8
(
9
7
)
✕
-8
(
9
7
)
(i)
-24
(
11
7
)
(ii)
-24
(
9
7
)
(iii)
-23
(
9
7
)
(iv)
-25
(
9
7
)
(v)
1
Question
3
3.
Find the number of prime factors of
16900
(i)
0
(ii)
2
(iii)
3
(iv)
1
(v)
4
Question
4
4.
If
(
x
2
+
y
2
)
=
z
2
, then which of the following is true?
(i)
log
x
(
z
+
y
)
−
log
x
(
z
−
y
)
=
2
(ii)
log
x
(
z
+
y
)
+
log
x
(
z
−
y
)
=
4
(iii)
log
(
z
+
y
)
log
(
z
−
y
)
=
3
(iv)
log
x
(
z
+
y
)
+
log
x
(
z
−
y
)
=
2
(v)
log
x
(
z
+
y
)
+
log
x
(
z
−
y
)
=
5
Question
5
5.
Express
4289
10000
as a decimal correct to 4 decimal places
(i)
4.289
(ii)
0.2289
(iii)
0.5289
(iv)
0.4289
(v)
0.0429
Question
6
6.
log
9
23
=
(i)
log
9
97
÷
log
23
97
(ii)
log
9
97
✕
log
23
97
(iii)
log
9
97
−
log
23
97
(iv)
log
9
97
+
log
23
97
(v)
log
23
97
÷
log
9
97
Question
7
7.
Which of the following is true?
a)
8.4300
✕
(
13.4100
+
19.9900
)
=
(
8.4300
✕
13.4100
)
+
(
8.4300
✕
19.9900
)
b)
13.4100
✕
(
19.9900
−
12.6200
)
=
(
13.4100
✕
19.9900
)
−
(
13.4100
✕
12.6200
)
c)
19.9900
−
(
12.6200
✕
8.4300
)
=
(
19.9900
−
12.6200
)
✕
(
19.9900
−
8.4300
)
d)
12.6200
÷
(
8.4300
+
13.4100
)
=
(
12.6200
÷
8.4300
)
+
(
12.6200
÷
13.4100
)
(i)
{c,a}
(ii)
{d,b}
(iii)
{c,b,a}
(iv)
{a,b}
(v)
{c,d,a}
Question
8
8.
If
x
=
y
2
(
y
−
1
)
, then
log
(
x
−
y
)
=
(i)
log
x
log
y
(ii)
log
x
−
log
y
(iii)
log
x
log
y
(iv)
log
x
+
log
y
Question
9
9.
log
48
18
48
3
=
(i)
7.1667
(ii)
1.1667
(iii)
0.1667
(iv)
2.1667
(v)
8.1667
Question
10
10.
log
66.1800
−
log
27.4300
=
(i)
log
3.4127
(ii)
log
0.4127
(iii)
log
2.4127
(iv)
log
1.4127
(v)
log
4.4127
Question
11
11.
log
8
60
−
log
2
8
=
(i)
log
8
13
(ii)
log
8
15
(iii)
log
2
3
(iv)
log
2
(
8
15
)
(v)
log
2
5
Question
12
12.
Find the HCF of
{300,285,60}
(i)
15
(ii)
14
(iii)
17
(iv)
16
(v)
12
Question
13
13.
5.15 =
(i)
103
20
(ii)
103
2
(iii)
515
(iv)
103
200
(v)
103
2000
Question
14
14.
log
7
87
=
(i)
log
87
+
log
7
(ii)
log
7
÷
log
87
(iii)
log
87
÷
log
7
(iv)
log
87
−
log
7
(v)
log
87
✕
log
7
Question
15
15.
log
61.0000
−
log
97.0000
=
(i)
log
7.6289
(ii)
log
0.6289
(iii)
log
2.6289
(iv)
log
1.6289
(v)
log
8.6289
Question
16
16.
log
7.10
13.0700
=
(i)
log
13.0700
÷
log
7.10
(ii)
log
13.0700
−
log
7.10
(iii)
log
13.0700
✕
log
7.10
(iv)
log
13.0700
+
log
7.10
(v)
log
7.10
÷
log
13.0700
Question
17
17.
The
base
in the term
(
9
7
)
4
is
(i)
2
(ii)
4
(iii)
9
7
(iv)
(
-9
7
)
(v)
-4
Question
18
18.
Find the period of the recurring decimal
16.59259259259259...
(i)
3
(ii)
59
(iii)
592
(iv)
4
(v)
5920
Question
19
19.
Express
5
9
as a decimal correct to 1 decimal places
(i)
0.6
(ii)
0.8
(iii)
0.5
(iv)
0.7
(v)
0.4
Question
20
20.
Convert the fraction
463
21
to non-terminating recurring decimal
(i)
22.
047619
(ii)
2204.
761904
(iii)
0.
2
(iv)
2.2
047619
(v)
220.
476190
Question
21
21.
log
37.8400
+
log
54.9300
=
(i)
log
2079.5513
(ii)
log
2078.5513
(iii)
log
2077.5513
(iv)
log
2080.5513
(v)
log
2076.5513
Question
22
22.
Simplify the expression
(
-2
3
)
2
✕
(
-2
3
)
2
(i)
(
-4
5
)
2
(ii)
2
-2
(iii)
(
-4
3
)
2
(iv)
(
-4
3
)
4
(v)
2
-4
Question
23
23.
Express
8
9
as a decimal correct to 4 decimal places
(i)
0.6889
(ii)
0.9889
(iii)
0.8889
(iv)
1.0889
(v)
0.7889
Question
24
24.
Find the HCF of
{312,40,184,336}
(i)
9
(ii)
8
(iii)
10
(iv)
7
(v)
5
Question
25
25.
log
1
4
+
log
1
5
=
(i)
log
(
-1
20
)
(ii)
log
1
18
(iii)
log
2
(
1
20
)
(iv)
log
3
20
(v)
log
1
20
Assignment Key
1) (iii)
2) (ii)
3) (iii)
4) (iv)
5) (iv)
6) (i)
7) (iv)
8) (ii)
9) (iii)
10) (iii)
11) (ii)
12) (i)
13) (i)
14) (iii)
15) (ii)
16) (i)
17) (ii)
18) (iii)
19) (i)
20) (i)
21) (ii)
22) (iii)
23) (iii)
24) (ii)
25) (v)
